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In mathematics, Birkhoff interpolation is an extension of polynomial interpolation. It refers to the problem of finding a polynomial P ( x ) {\displaystyle
Birkhoff_interpolation
American mathematician (1884–1944)
Physics portal Birkhoff factorization Birkhoff–Grothendieck theorem Birkhoff's theorem Birkhoff's axioms Birkhoff interpolation Birkhoff–Kellogg invariant-direction
George_David_Birkhoff
Surname list
of George D. Birkhoff (crater) Birkhoff interpolation Birkhoff's axioms Birkhoff's theorem (disambiguation), multiple theorems Birkhoff decomposition
Birkhoff
Form of interpolation
solved by means of the Chinese remainder theorem for polynomials. Birkhoff interpolation is a further generalization where only derivatives of some orders
Polynomial_interpolation
Lebesgue constant Hermite interpolation Birkhoff interpolation Abel–Goncharov interpolation Spline interpolation — interpolation by piecewise polynomials
List of numerical analysis topics
List_of_numerical_analysis_topics
Mathematical function defined piecewise by polynomials
Computer Graphics and Geometric Modeling, 1987. Birkhoff and de Boor, Piecewise polynomial interpolation and approximation, in: H. L. Garabedian (ed.),
Spline_(mathematics)
shapes Birkhoff interpolation: an extension of polynomial interpolation Cubic interpolation Hermite interpolation Lagrange interpolation: interpolation using
List_of_algorithms
theorem saturated models axiomatizability varieties, Birkhoff axiomatizability Craig interpolation Robinson consistency Beth definability Gödel's completeness
Institutional_model_theory
Russian-American mathematician
Press 1953, Chelsea 1986 with K. Jetter, and S.D. Riemenschneider Birkhoff Interpolation, Cambridge University Press 1984 Mathematics from Leningrad to Austin:
George_G._Lorentz
Type of mathematical expression
field. See "polynomial" and "binomial", Compact Oxford English Dictionary Birkhoff & Lane 1997, p. 72. Sahai & Bist 2002, p. 20. Young 2022, p. 346. Beauregard
Polynomial
Group with a compatible partial order
topological space Glass (1999) Birkhoff (1942) M. Anderson and T. Feil, Lattice Ordered Groups: an Introduction, D. Reidel, 1988. Birkhoff, Garrett (1942). "Lattice-Ordered
Partially_ordered_group
Extension of the factorial function
Functions, Cambridge University Press, ISBN 978-0-521-19225-5, MR 2723248. Birkhoff, George D. (1913). "Note on the gamma function". Bull. Amer. Math. Soc
Gamma_function
Existence of perfect cuboids and associated cuboid conjectures Pierce–Birkhoff conjecture: every piecewise-polynomial f : R n → R {\displaystyle f:\mathbb
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
American mathematician and philosopher (1894–1964)
university and in particular the antipathy of Harvard mathematician G. D. Birkhoff. He was also rejected for a position at the University of Melbourne. At
Norbert_Wiener
Wagner's theorem (graph theory) Zeilberger–Bressoud theorem (combinatorics) Birkhoff's representation theorem (lattice theory) Boolean prime ideal theorem (mathematical
List_of_theorems
Area of mathematical analysis
ergodic averages is large. Such maximal estimates are used in proofs of the Birkhoff ergodic theorem, where they help pass from convergence on a dense class
Harmonic_analysis
Important problem in lattice theory
we obtain the following result, first published by Birkhoff and Frink in 1948. Theorem (Birkhoff and Frink 1948). The congruence lattice Con A of any
Congruence_lattice_problem
Awarded every year by the American Mathematical Society
a bequest of Leroy P. Steele and were set up in honor of George David Birkhoff, William Fogg Osgood and William Caspar Graustein. The way the prizes are
Leroy_P._Steele_Prize
computation. The first four chapters, on interpolation, were published separately under A Short Course in Interpolation, in 1924. The book went through four
Bibliography of E. T. Whittaker
Bibliography_of_E._T._Whittaker
Universal Algebra. Starting in the 1930s, the American mathematician Garrett Birkhoff expanded these ideas and developed many of the foundational concepts of
History_of_algebra
American mathematician (1895–1973)
129 (3): 391–413. doi:10.1090/s0002-9947-1967-0217484-x. MR 0217484. Interpolation and approximation by rational functions in the complex domain, AMS Colloquium
Joseph_L._Walsh
BIRKHOFF INTERPOLATION
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BIRKHOFF INTERPOLATION
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BIRKHOFF INTERPOLATION
v. i.
To introduce gags or interpolations. See Gag, n., 3.
a.
Introduced or determined by interpolation; as, interpolated quantities or numbers.
a.
Provided with necessary interpolations; as, an interpolated table.
n.
One of two characters [], used to inclose a reference, explanation, or note, or a part to be excluded from a sentence, to indicate an interpolation, to rectify a mistake, or to supply an omission, and for certain other purposes; -- called also crotchet.
n.
That which is introduced or inserted, especially something foreign or spurious.
n.
The method or operation of finding from a few given terms of a series, as of numbers or observations, other intermediate terms in conformity with the law of the series.
n.
The act of introducing or inserting anything, especially that which is spurious or foreign.